@article{oai:shotoku.repo.nii.ac.jp:00000698, author = {竹内, 聖彦 and Takeuchi, Kiyohiko}, journal = {聖徳学園女子短期大学紀要, Bulletin of the Shotoku Gakuen Women's Junior College}, month = {Sep}, note = {代数多様体上のサイクルの交点数は,数値的方法で代数多様体の性質を調べるときに重要な役割を演ずる。中でも,二次変換により生じた例外サイクルと元の多様体上のサイクルの引き戻しとの交点数は,双有理幾何学上,特に重要である。代数多様体の次元が3次元以下の場合はよく知られているので,ここでは4次元の場合の具体的な公式を導く。, Intersection numbers of cycles on a variety play a very important role in numerical methods studying varieties. In particular, after a monoidal transformation, intersection numbers between the exceptional and pulled-back cycles are essencial in birational geometry. Two- and three-dimensional cases are well-known, and this note deals with the four-dimensional case and derives explicit formulae for that case.}, pages = {13--26}, title = {4次元代数多様体上のサイクルの交点数}, volume = {23}, year = {1994}, yomi = {タケウチ, ヒジリヒコ} }